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Properties

Label 3850.2.e
Level $3850$
Weight $2$
Character orbit 3850.e
Rep. character $\chi_{3850}(2001,\cdot)$
Character field $\Q$
Dimension $152$
Sturm bound $1440$

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Defining parameters

Level: \( N \) \(=\) \( 3850 = 2 \cdot 5^{2} \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3850.e (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 77 \)
Character field: \(\Q\)
Sturm bound: \(1440\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3850, [\chi])\).

Total New Old
Modular forms 744 152 592
Cusp forms 696 152 544
Eisenstein series 48 0 48

Trace form

\( 152 q - 152 q^{4} - 144 q^{9} + O(q^{10}) \) \( 152 q - 152 q^{4} - 144 q^{9} - 4 q^{11} + 152 q^{16} - 4 q^{22} + 16 q^{23} + 144 q^{36} + 24 q^{37} + 4 q^{44} - 32 q^{49} + 24 q^{53} + 40 q^{58} - 152 q^{64} + 40 q^{67} + 52 q^{77} + 40 q^{78} + 32 q^{81} - 32 q^{86} + 4 q^{88} - 32 q^{91} - 16 q^{92} - 40 q^{93} + 44 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(3850, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

Decomposition of \(S_{2}^{\mathrm{old}}(3850, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3850, [\chi]) \cong \)